105873000 has 64 divisors (see below), whose sum is σ = 330333120. Its totient is φ = 28232000.

The previous prime is 105872981. The next prime is 105873007. The reversal of 105873000 is 378501.

It is a super-2 number, since 2×105873000² = 22418184258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105873007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14646 + ... + 20645.

It is an arithmetic number, because the mean of its divisors is an integer number (5161455).

Almost surely, 2^105873000 is an apocalyptic number.

105873000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105873000 is an abundant number, since it is smaller than the sum of its proper divisors (224460120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105873000 is a wasteful number, since it uses less digits than its factorization.

105873000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35315 (or 35301 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 105873000 is about 10289.4606272632. The cubic root of 105873000 is about 473.0732662916.

The spelling of 105873000 in words is "one hundred five million, eight hundred seventy-three thousand".